Triple
T8850278
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hilbert’s seventeenth problem |
E210619
|
entity |
| Predicate | hasCanonicalFormulation |
P84984
|
FINISHED |
| Object | Given a polynomial with real coefficients that takes only nonnegative values for all real inputs, is it a sum of squares of rational functions with real coefficients? |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Given a polynomial with real coefficients that takes only nonnegative values for all real inputs, is it a sum of squares of rational functions with real coefficients? | Statement: [Hilbert’s seventeenth problem, hasCanonicalFormulation, Given a polynomial with real coefficients that takes only nonnegative values for all real inputs, is it a sum of squares of rational functions with real coefficients?]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasCanonicalFormulation Context triple: [Hilbert’s seventeenth problem, hasCanonicalFormulation, Given a polynomial with real coefficients that takes only nonnegative values for all real inputs, is it a sum of squares of rational functions with real coefficients?]
-
A.
isCanonicalFormOf
Indicates that one entity is the standard or officially accepted form or representation of another, often more variant, entity.
-
B.
hasFormulation
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
-
C.
hasCanonicalProblem
Indicates that an entity is associated with, or exemplifies, a standard or canonical problem instance used to represent its core issue or challenge.
-
D.
hasCanonicalRepresentation
Indicates that one entity is the standard or authoritative form in which another entity is represented.
-
E.
hasFormulationType
Indicates the specific way something is physically prepared or presented, such as its dosage form, composition, or delivery format.
- F. None of above. chosen
Provenance (4 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ca838a424c8190b1ecac115c2927e7 |
completed | March 30, 2026, 2:07 p.m. |
| NER | Named-entity recognition | batch_69cc60abb0748190af41d4e1f419e39c |
completed | April 1, 2026, 12:02 a.m. |
| PD | Predicate disambiguation | batch_69cc5c25b874819084c9ba391703e066 |
completed | March 31, 2026, 11:43 p.m. |
| PDg | Predicate description generation | batch_69cc5cffe8ec819084c12770fe0578f2 |
completed | March 31, 2026, 11:47 p.m. |
Created at: March 30, 2026, 6:49 p.m.